weight function

New results related to cutters and to an extrapolated block-iterative method for finding a common fixed point of a collection of them

  • Yair Censor
  • Daniel Reem
  • Maroun Zaknoon
    • Categories Convex Optimization, Nonlinear Optimization, Parallel Algorithms Tags , , , ,

    Given a Hilbert space and a finite family of operators defined on the space, the common fixed point problem (CFPP) is to find a point in the intersection of the fixed point sets of these operators.  Instances of the problem have numerous applications in science and engineering. We consider an extrapolated block-iterative method with dynamic … Read more

    A generalized block-iterative projection method for the common fixed point problem induced by cutters

  • Yair Censor
  • Daniel Reem
  • Maroun Zaknoon
    • Categories Convex Optimization, Nonlinear Optimization Tags , , , ,

    The block-iterative projections (BIP) method of Aharoni and Censor [Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Linear Algebra and its Applications 120, (1989), 165-175] is an iterative process for finding asymptotically a point in the nonempty intersection of a family of closed convex subsets. It employs orthogonal projections onto the … Read more